Question

A system of equations is shown below:

y = 3x − 7
y = 2x + 1

What is the solution to the system of equations?
(8, 17)
(−8, 17)
(−8, −17)
(8, −17)

Answer 1

X = 8 and Y = 17 so the answer is A (8, 17)

Answer 2

Solution (8 , 17).

Explanation:

Given : y = 3x − 7 and y = 2x + 1 .

To find : What is the solution to the system of equations.

Solution : We have given

y = 3x − 7 --------(1)

y = 2x + 1 ---------(2).

Plug the value of y of equation 2 in equation 1.

2x + 1 = 3x - 7.

Subtracting both sides by 1

2x + 1 - 1 = 3x - 7 - 1.

2x = 3x - 8.

On subtracting both sides by 3x.

2x -3x = - 8.

-x = -8

On Dividing both sides by -1

x = 8.

Now plug the x = 8 in eq 1.

y = 3(8) -7.

y = 24 - 7.

y = 17.

Solution (8 , 17).

Therefore, Solution (8 , 17).